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Simplifying 8(3 + x) = 10x + -32 (3 * 8 + x * 8) = 10x + -32 (24 + 8x) = 10x + -32 Reorder the terms: 24 + 8x = -32 + 10x Solving 24 + 8x = -32 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 24 + 8x + -10x = -32 + 10x + -10x Combine like terms: 8x + -10x = -2x 24 + -2x = -32 + 10x + -10x Combine like terms: 10x + -10x = 0 24 + -2x = -32 + 0 24 + -2x = -32 Add '-24' to each side of the equation. 24 + -24 + -2x = -32 + -24 Combine like terms: 24 + -24 = 0 0 + -2x = -32 + -24 -2x = -32 + -24 Combine like terms: -32 + -24 = -56 -2x = -56 Divide each side by '-2'. x = 28 Simplifying x = 28
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